Journal articles

  • N. Sharan, P. T. Brady and D. Livescu. High-order dimensionally-split Cartesian embedded boundary method for non-dissipative schemes. Journal of Computational Physics 464 (2022): 111341.paper

  • N. Sharan, P. T. Brady and D. Livescu. Time stability of strong boundary conditions in finite-difference schemes for hyperbolic systems. SIAM Journal on Numerical Analysis, 60(3) (2022): 1331-1362. paper

  • N. Sharan and J. R. Bellan. Investigation of high-pressure turbulent jets using direct numerical simulation. Journal of Fluid Mechanics, 922 (2021): A24. paper

  • N. Sharan, G. Matheou and P. E. Dimotakis. Turbulent shear-layer mixing: initial conditions, and direct-numerical and large-eddy simulations. Journal of Fluid Mechanics, 877 (2019): 35-81. paper

  • N. Sharan, G. Matheou and P. E. Dimotakis. Mixing, scalar boundedness, and numerical dissipation in large-eddy simulations. Journal of Computational Physics, 369 (2018): 148-172. paper

  • N. Sharan, C. Pantano and D. J. Bodony. Time-stable overset grid method for hyperbolic problems using summation-by-parts operator. Journal of Computational Physics, 361 (2018): 199-230. paper

Conference papers

  • U. Saetti and N. Sharan. Harmonic Decomposition Models of Periodically-Forced Fluid Flows, AIAA Paper 2022-3841, AIAA Aviation 2022 Forum, Chicago, IL. paper

  • N. Sharan and J. R. Bellan. High-pressure two-species mixing in turbulent free jets, AIAA Paper 2022-0482, AIAA Scitech 2022 Forum, San Diego, CA. paper

  • N. Sharan, M. Natarajan, P. T. Brady and D. Livescu. A deep learning framework for derivation of time-stable difference schemes, AIAA Paper 2021-2727, AIAA Aviation 2021 Forum (Virtual). paper

  • N. Sharan and J. R. Bellan. Direct numerical simulation of high-pressure free jets, AIAA Paper 2021-0550, AIAA Scitech 2021 Forum (Virtual). paper

  • N. Sharan, P. T. Brady and D. Livescu. Finite-difference Cartesian cut-cell method for hyperbolic systems, AIAA Paper 2021-0746, AIAA Scitech 2021 Forum (Virtual). paper

  • N. Sharan and J. R. Bellan. Turbulent mixing in supercritical jets: effect of compressibility factor and inflow condition, AIAA Paper 2020-1156, AIAA Scitech 2020 Forum, Orlando, FL. paper

  • N. Sharan, P. T. Brady and D. Livescu. Stable and conservative boundary treatment for difference methods, with application to cut-cell discretizations, AIAA Paper 2020-0807, AIAA Scitech 2020 Forum, Orlando, FL. paper

  • N. Sharan and J. R. Bellan. Numerical aspects for physically accurate Direct Numerical Simulations of turbulent jets, AIAA Paper 2019-2011, AIAA Scitech 2019 Forum, San Diego, CA. paper

  • N. Sharan, C. Pantano and D. J. Bodony. Energy stable overset grid methods for hyperbolic problems. AIAA Paper 2014-2924, 7th AIAA Theoretical Fluid Mechanics Conference, Atlanta, GA. paper

  • N. Sharan and D. J. Bodony. High-order provably stable overset grid methods for block-structured adaptive mesh refinement. AIAA Paper 2013-2872, 21st AIAA Computational Fluid Dynamics Conference, San Diego, CA. paper

  • N. Sharan and A. Chatterjee. Parallel Computation of Axisymmetric Jets. Proceedings of the Python for Education and Scientific Computing (SciPy.in) 2010, Hyderabad, India. paper

Thesis

  • N. Sharan. Time-stable high-order finite difference methods for overset grids. Doctoral Dissertation, University of Illinois at Urbana-Champaign, 2016. thesis